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The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights…

Machine Learning · Statistics 2018-10-11 Iain Carmichael , J. S. Marron

Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer,…

Quantum Physics · Physics 2014-10-01 Patrick Rebentrost , Masoud Mohseni , Seth Lloyd

Support Vector Machine (SVM) is an efficient classification approach, which finds a hyperplane to separate data from different classes. This hyperplane is determined by support vectors. In existing SVM formulations, the objective function…

Machine Learning · Computer Science 2018-04-09 Shuai Zheng , Chris Ding

The search of the new physics~(NP) beyond the Standard Model is one of the most important topics in current high energy physics. With the increasing luminosities at the colliders, the search for NP signals requires the analysis of more and…

High Energy Physics - Phenomenology · Physics 2024-08-26 Shuai Zhang , Yu-Chen Guo , Ji-Chong Yang

The support vector machine (SVM) is an important class of learning machines for function approach, pattern recognition, and time-serious prediction, etc. It maps samples into the feature space by so-called support vectors of selected…

Machine Learning · Statistics 2016-02-15 Hong Zhao

Support vector machine algorithms are considered essential for the implementation of automation in a radio access network. Specifically, they are critical in the prediction of the quality of user experience for video streaming based on…

Emerging Technologies · Computer Science 2019-09-27 Jiaying Yang , Ahsan Javed Awan , Gemma Vall-Llosera

The time complexity of support vector machines (SVMs) prohibits training on huge data sets with millions of data points. Recently, multilevel approaches to train SVMs have been developed to allow for time-efficient training on huge data…

Machine Learning · Computer Science 2020-01-29 Sebastian Schlag , Matthias Schmitt , Christian Schulz

In traditional boosting algorithms, the focus on misclassified training samples emphasizes their importance based on difficulty during the learning process. While using a standard Support Vector Machine (SVM) as a weak learner in an…

Machine Learning · Computer Science 2024-10-10 Junbo Jacob Lian

This article delves into the analysis of performance and utilization of Support Vector Machines (SVMs) for the critical task of forest fire detection using image datasets. With the increasing threat of forest fires to ecosystems and human…

Machine Learning · Statistics 2024-03-11 Ankan Kar , Nirjhar Nath , Utpalraj Kemprai , Aman

Representing data in hyperbolic space can effectively capture latent hierarchical relationships. With the goal of enabling accurate classification of points in hyperbolic space while respecting their hyperbolic geometry, we introduce…

Machine Learning · Computer Science 2018-06-04 Hyunghoon Cho , Benjamin DeMeo , Jian Peng , Bonnie Berger

Last several years, GPUs are used to accelerate computations in many computer science domains. We focused on GPU accelerated Support Vector Machines (SVM) training with non-linear kernel functions. We had searched for all available GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-21 Jan Vanek , Josef Michalek , Josef Psutka

The support vector machine (SVM) and deep learning (e.g., convolutional neural networks (CNNs)) are the two most famous algorithms in small and big data, respectively. Nonetheless, smaller datasets may be very important, costly, and not…

Machine Learning · Computer Science 2020-02-19 Wei-Chang Yeh

A support vector machine (SVM) is an algorithm that finds a hyperplane which optimally separates labeled data points in $\mathbb{R}^n$ into positive and negative classes. The data points on the margin of this separating hyperplane are…

Machine Learning · Computer Science 2022-09-19 Henry Adams , Elin Farnell , Brittany Story

Support vector machines (SVMs) appeared in the early nineties as optimal margin classifiers in the context of Vapnik's statistical learning theory. Since then SVMs have been successfully applied to real-world data analysis problems, often…

Statistics Theory · Mathematics 2016-08-16 Javier M. Moguerza , Alberto Muñoz

This paper proposes a frequent pattern data mining algorithm based on support vector machine (SVM), aiming to solve the performance bottleneck of traditional frequent pattern mining algorithms in high-dimensional and sparse data…

Machine Learning · Computer Science 2024-12-23 Pochun Li

The parameters of support vector machines (SVMs) such as the penalty parameter and the kernel parameters have a great impact on the classification accuracy and the complexity of the SVM model. Therefore, the model selection in SVM involves…

Machine Learning · Computer Science 2020-07-13 Alaa Tharwat

Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive features interpretation of their solutions is quite…

Machine Learning · Computer Science 2019-01-29 Tomasz Maszczyk , Włodzisław Duch

Support vector machines (SVMs) are special kernel based methods and belong to the most successful learning methods since more than a decade. SVMs can informally be described as a kind of regularized M-estimators for functions and have…

Machine Learning · Statistics 2010-07-26 Andreas Christmann , Robert Hable

The computational complexity of solving nonlinear support vector machine (SVM) is prohibitive on large-scale data. In particular, this issue becomes very sensitive when the data represents additional difficulties such as highly imbalanced…

Machine Learning · Computer Science 2019-04-09 E. Sadrfaridpour , T. Razzaghi , I. Safro

In this paper, we consider asymptotic properties of the support vector machine (SVM) in high-dimension, low-sample-size (HDLSS) settings. We show that the hard-margin linear SVM holds a consistency property in which misclassification rates…

Machine Learning · Statistics 2017-02-28 Yugo Nakayama , Kazuyoshi Yata , Makoto Aoshima